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Finding the Fourth Proportional to 2,461.97, 3,397.12 and 1,467.23

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Solution

The fourth proportional to 2,461.97, 3,397.12 and 1,467.23 is: 2,024.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.97 : 3,397.12 = 1,467.23 : x
  2. Step 2: Convert to fraction form
    2,461.97/3,397.12 = 1,467.23/x
  3. Step 3: Cross multiply
    2,461.97x = 3,397.12 × 1,467.23
  4. Step 4: Simplify right side
    2,461.97x = 4,984,356.38
  5. Step 5: Solve for x
    x = 4,984,356.38/2,461.97
  6. Step 6: Final answer
    x = 2,024.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.